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4 years ago

How do you make a unit rate?

1 answer:

5 0

When rates are expressed as a quantity of 1, such as 2 feet per second or 5 miles per hour, they are called unit rates. If you have a multiple-unit rate such as 120 students for every 3 buses, and want to find the single-unit rate, write a ratio equal to the multiple-unit rate with 1 as the second term.

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$7500 is invested at 3.5% per annum simple interest. How long will it take for the

BARSIC [14]

Answer:

Required time will be 4 years.

Step-by-step explanation:

(p×r)

(100×SI)

(14000×4)

(100×2240)

56000

224000

T=4

5 0

3 years ago

Given A(-3,6) and B(5,-6) find the distance and midpoint between each

xenn [34]

14.42 is your distance formula
(1,0) is the midpoint
if you need the forma for distance it is x2-x1 squared + y2-y1 squared then square root it

7 0

4 years ago

Read 2 more answers

Parabolas. Please help me

olganol [36]

x² = 16 y
x = 0
(x + 4)² = 2/3 (y - 2)
Gayle identifies that the vertex of the parabola is (3, -1) . The parabola opens right, and the focus is 3 units away from the vertex. The directrix is 6 units from the focus. The focus is the point (6, -1). The directrix of the equation is x = 0.
(y - 6)² = 4p (x - 3)

Step-by-step explanation:

1. First figure

We plot the parabola as given in the attached diagram.

As it is facing upwards, the equation goes as x² = 4py

where, p = 4 (refer the attached diagram)

x² = 4py

x² = 4 (4) y

∴, standard form of parabola is x² = 16 y

2. Second figure

(y + 3)² = 4 (x - 1)

Comparing the given equation with the standard form

(y - k)² = 4p (x - h)

Now from this equation we get to know that

h = 1

p = 1

Directrix is x = (h - p)

So, x = 0

3. Third figure

3x² + 24x - 2y + 52 = 0

3x² + 24x = 2y - 52

3 (x² + 8x) = 2 (y - 26)

(x² + 8x) = 2 (y - 26) / 3

Adding 16 on both sides,

x² + 8x + 16 = 2 (y - 26) / 3 + 16

(x + 4)² = 2/3 y - 52/3 + 16

(x + 4)² = 2/3 y - 4/3

(x + 4)² = 2/3 (y - 2)

4. Fourth figure

(y + 1)² = 12 (x - 3)

Comparing the given equation with the standard form

(y - k)² = 4p (x - h)

Now from this equation we get to know that

k = -1

h = 3

p = 3

Gayle identifies that the vertex of the parabola is (3, -1) . The parabola opens right, and the focus is 3 units away from the vertex. The directrix is 6 units from the focus. The focus is the point (6, -1). The directrix of the equation is x = 0.

5. Fifth figure

Focus = (2, 6)

Directrix is x = 4

Therefore, it follows the standard form

(y - k)² = 4p (x - h)

Directrix is given by x = h-p = 4

Focus is given by (h + p, k) = (2, 6)

Solving for (h - p) = 4, (h + p) = 2

2 - p - p = 4

-2p = 2

p = -1

Hence, h = 3

Therefore, the standard form can be written as

(y - 6)² = 4p (x - 3)

7 0

4 years ago

Find the fifth term of the sequence if a15=29 and a21=47

schepotkina [342]

We have a15 = a1 + 14 x r and a21 = a1 + 20 x r <=> 29 = a1 + 14 x r and 47 = a1 + 20 x r;

Then, 47 - 29 = (20 x r + a1) - (14 x r + a1);

18 = 6 x r;

r = 3;

We have 29 = a1 + 42;

a1 = 29 - 42;

a1 = - 13;

Finally, a5 = a1 + 4 x r = -13 + 4 x 3 = -13 + 12 = -1.

6 0

4 years ago

PLS HELP IM TIRED AND THIS IS MY LAST THING TO DO AND EVERYONE IS SKIPPING ITT

Lana71 [14]

Answer:

for 1-12 I will say t (true) and f (false) to determine if it's proportional or not.

1) t. 7)t

2)t. 8)f

3)f. 9)t

4)t. 10)t

5)f. 11)t

6)f. 12)f

13) proportional

14) unproportional

6 0

3 years ago